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Finding the Fourth Proportional to 14,641.11, 20,206.40 and 8,974.55

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Solution

The fourth proportional to 14,641.11, 20,206.40 and 8,974.55 is: 12,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.11 : 20,206.40 = 8,974.55 : x
  2. Step 2: Convert to fraction form
    14,641.11/20,206.40 = 8,974.55/x
  3. Step 3: Cross multiply
    14,641.11x = 20,206.40 × 8,974.55
  4. Step 4: Simplify right side
    14,641.11x = 181,343,352.76
  5. Step 5: Solve for x
    x = 181,343,352.76/14,641.11
  6. Step 6: Final answer
    x = 12,385.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.